802,131

3 × 11 × 109 × 223

Prime Factor Structure

Factorization String 3 × 11 × 109 × 223

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 1,182,720

Proper Divisor Sum 380,589

Digit Sum / Digital Root 15 (Root: 6)

Adjacent Primes #802129 ← → #802133

Radix Representation

Decimal	802131
Binary	11000011110101010011 (20 bits)
Octal	0o3036523
Hexadecimal	0xC3D53

Divisor Catalog (16)

1 3 11 33 109 223 327 669 1,199 2,453 3,597 7,359 24,307 72,921 267,377 802,131

Collatz Trajectory (180 steps to reach 1)

Iterative sequence n → n/2 (if even) or 3n+1 (if odd):

802,131 2,406,394 1,203,197 3,609,592 1,804,796 902,398 451,199 1,353,598 676,799 2,030,398 1,015,199 3,045,598 1,522,799 4,568,398 2,284,199 6,852,598 3,426,299 10,278,898 5,139,449 15,418,348 7,709,174 3,854,587 11,563,762 5,781,881 17,345,644 8,672,822 4,336,411 13,009,234 6,504,617 19,513,852 9,756,926 4,878,463 14,635,390 7,317,695 21,953,086 10,976,543 32,929,630 16,464,815 49,394,446 24,697,223 74,091,670 37,045,835 111,137,506 55,568,753 166,706,260 83,353,130 41,676,565 125,029,696 62,514,848 31,257,424 15,628,712 7,814,356 3,907,178 1,953,589 5,860,768 2,930,384 1,465,192 732,596 366,298 183,149

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